This course focuses on the techniques and applications statistical data analysis. Typically, focuses on understanding the data, empirical model building using observational data for characterization, estimation, inference and prediction. Participants will study the theory, principles and methods for statistical analysis of observational data. Regression analysis, Parameter Estimation, and Testing of Hypotheses will be the primary tools to be discussed. Participants will develop empirical model building skills and be able to employ the models for characterization, estimation and prediction purposes.
While statistical techniques are emphasized throughout, the course has a strong engineering and management orientation. Guidelines are given throughout the course for selecting the proper type of statistical technique to use in a wide variety of product and non-product situations.
On successful completion of the course you will be able to:
Engineers and Senior Engineers/Specialists working in technical areas (Field and Headquarters) dealing with production or maintenance activities. Planning Engineers with technical background, Reliability Engineers, etc… This course is also intended for engineers in various industrial and service sectors, private and public fields that need a tool to plan for the future of their company. Strategic planning managers, research and development managers, general managers, and can be tailored according to company’s specific needs.
DAILY OUTLINE
The following topics will be covered in 3 days:
INTRODUCTION & BASICS
• Introduction
• Types of Data: Measurement & Categorical Variables
• Measurement scales
• Variables
• Parameters
• Statistics:
o Descriptive Statistics
o Inferential Statistics
• Accuracy And Precision
• Summation Notation
• Confidence Intervals
• Exercises
UNIVARIATE DATA
• Central Tendency
???? Mean
???? Median
???? Mode
• Spread
???? Range
???? Semi-Interquartile Range
???? Variance
???? Standard Deviation
• Shape
???? Skew
???? Kurtosis
• Graphs
• Exercises
BIVARITE DATA
• Scatter plots
• Pearson’s Correlation
• Example Values of r
• Exercises
PROBABILITY
• Simple & Conditional Probability
• Probability of (A and B) and (A or B)
• Binomial Distribution
• Exercises
NORMAL DISTRIBUTION
• Definition
• Standard Normal Distribution
• Conversion to Percentiles and Back
• Exercises
SAMPLING DISTRIBUTION
• Definition
• Sampling Distribution of the Mean
• Standard Error
• Central Limit Theorem
• Difference Between Means
• Proportion
• Difference Between Proportions
• Exercises
POINT ESTIMATION
• Overview
• Characteristics of Estimators
• Estimation Variance
• Exercises
CONFIDENCE INTERVALS
• Overview
• Mean, σ Known
• Mean, σ Estimated
• General Formula
• Difference Between Means of Independence Groups: σ Known; σ Estimated
• Linear Combination of means from Independent Groups
• Exercises
LOGIC OF HYPOTHESIS TESTING
• Ruling Out Changes as an Explanation
• The Null Hypothesis
• Steps in Hypothesis Testing
• The Precise Meaning of the p Value
• At What Level is H0 Really Rejected
• Statistical and Practical Significance
• Type I and II Errors
• One- and Two-Tailed Tests (t-tests)
• Confidence Intervals and Hypothesis Testing
• Exercises
HYPOTHESIS TESTING WITH STANDARD ERRORS
• General Formula
• Tests of μ, σ Known
• Tests of μ, σ Estimated
• μ1 - μ2, Independent Groups, σ Estimated
• μ1 - μ2, Dependent Groups, σ Estimated
• Linear Combination of Means, Linear Combination of Means, Independent
Groups
• Proportions
• Differences Between Proportions
• Exercises
POWER & *P VALUE
• Introduction
• Factors Affecting Power
o Introduction
o Size of Differences Between Means
o Significance Level
o Sample Size
o Variance
o Other Factors
• Estimating Power
• *P Value
• Exercises
ANALYSIS OF VARIANCE (ANOVA)
• Preliminaries
• ANOVA with 1 Between-Subjects Factor
• Tests supplementing ANOVA
• Formal Model
• Expected Mean Squares
• Exercises
PREDICTION
• Introduction
• Standard Error of the Estimate
• Partitioning the Sums of Squares
• Confidence Intervals and Significance Tests for Correlation and Regression
• Simple Linear Regression
• Multiple Linear Regressions
• Exercises
TRAINING OUTCOME
To illustrate study cases for different applications of statistical data analysis
NOTE:
Pre & Post Tests will be conducted
Case Studies, Group Exercises, Group Discussions, Last Day Review & Assessments will be carried out.
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Define Management Consultancy & Training Certificate of course completion will be issued to all attendees.
A highly interactive combination of lecture and discussion sessions will be managed to maximize the amount and quality of information, knowledge and experience transfer. The sessions will start by raising the most relevant questions, and motivate everybody finding the right answers. The attendants will also be encouraged to raise more of their own questions and to share developing the right answers using their own analysis and experience.
All attendees receive a course manual as a reference.
This interactive training workshop includes the following training methodologies
30% Lectures
30% Workshops and work presentation
20% Group Work& Practical Exercises
20% Videos& General Discussions
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